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Finding the Fourth Proportional to 4,302.72, 6,453.78 and 1,380.78

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Solution

The fourth proportional to 4,302.72, 6,453.78 and 1,380.78 is: 2,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.72 : 6,453.78 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    4,302.72/6,453.78 = 1,380.78/x
  3. Step 3: Cross multiply
    4,302.72x = 6,453.78 × 1,380.78
  4. Step 4: Simplify right side
    4,302.72x = 8,911,250.35
  5. Step 5: Solve for x
    x = 8,911,250.35/4,302.72
  6. Step 6: Final answer
    x = 2,071.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.